1. Pretest Please complete the pretest for this standard
on your own. Try to remember all you can from
our first discussion of this topic.
Day 1
The pretest can be found online at The teacher and student logins are the same as FCAT Explorer. If you have access to computers, you may wish to have your students complete this assessment online. Using the paper/pencil copy and a bubble answer sheet from Performance Matters will give you automatically graded assessment and valuable data for immediate use.

2. Determine how changes in dimensions affect the surface area and volume of common geometric solids
MA.912.G.7.7

3. LEQ: How do changes in dimensions affect the surface area and volume of common geometric solids?
The surface area and volume of a rectangular prism change disproportionately when the linear dimensions change.
Vocabulary should be interactive when possible.

4. Using a Concrete Example to Solve
I do…
Using a Concrete Example to Solve
Kendra has a compost box that has the shape of a cube. She wants to increase the size of the box by extending every edge of the box by half its original length. After the box is increased in size, which of the following statements is true?
The volume of the new compost box is exactly 112.5% of the volume of the original box.
The volume of the new compost box is exactly 150% of the volume of the original box.
The volume of the new compost box is exactly 337.5% of the volume of the original box.
The volume of the new compost box is exactly 450% of the volume of the original box.
Since we do not know the length of the original edge, we can make our own. Let’s say that the edge was 4 units.
Then the new edge would be increased by half of that which is 2. The new edge would be 6 units.
Day 2
Old volume is 64 units3.
New volume is 216 units3

5. I do…
Comparing Volume
A city is planning to replace one of its water storage tanks with a larger one. The city’s old tank is a right circular cylinder with a radius of 12 feet and a volume of 10,000 cubic feet. The new tank is a right circular cylinder with a radius of 15 feet and the same height as the old tank. What is the maximum number of cubic feet of water the new storage tank will hold?
Day 2
Strategy: Make a table
Old Tank
New Tank
Formula
Missing Dimensions
r=12; V=10,000
r=15
h=?
Vnew=?

6. I do… Comparing Volumes Strategy: Make a table Old Tank New Tank
Formula
Missing Dimensions
r=12; V=10,000
r=15
h=?
Vnew=?
Begin by using what you know about the old tank to find the height of both tanks.
Now that we know the height and the radius of the new tank, we can calculate the volume.
Day 2

7. Comparing Surface Area
I do…
Comparing Surface Area
Rodney’s dad wants him to paint a box that he was making. Rodney calculated that he needed 128 cubic inches of paint to cover the box. Later, Rodney’s dad changed the size of the box by multiplying each of its edges by ¾. How much paint does Rodney need to buy now?
This means that the surface area of the box will be reduced by a factor of 9/16.
Day 2
Surface area is the sum of the areas of the sides. Since the area is squared, we need to square ¾.

8. We do Sage and Scribe Day 3 Sage and Scribe: Low to Moderate DOK
Option 1: Cooperative Learning Structure is Sage and Scribe (one student writes while the other gives directions, then they switch).
Option 2: The students can complete this on their own.

9. We do
Pick a Card
With your partner, takes turns picking a card. The student that picked the card shares it with their partner and offers the explanation or solution. The other student verifies for accuracy, then picks a card to take their turn.
Day 4
Moderate/High DOK
Option 1: Cooperative Learning Structure is Pick a Card. Make two sided copies of the Word Document on thicker paper (if possible), 1 set per pair.
Option 2: The students can complete this on their own, simply print out the Word Document for each student.

10. You Do
A rectangular fish tank is 7 feet wide by 3 feet long and is filled to a depth of 3 feet. All of the water is poured into a second tank that is 6 feet wide by 2 feet long. What is the depth of the water in the new tank?
A rectangular prism with dimensions 2 in by 3 in by 6 in has the same volume as a right square pyramid that has a 6 in by 6 in base. What is the height of the pyramid?
A firework explodes and is spreading from its center in a spherical pattern. The sphere currently covers a surface area of 240 sq. meters. The diameter of the firework is expected to double in the next 30 seconds. What will be the new surface area of the sphere?
Day 5
Independent work.

11. You Do
A rectangular fish tank is 7 feet wide by 3 feet long and is filled to a depth of 3 feet. All of the water is poured into a second tank that is 6 feet wide by 2 feet long. What is the depth of the water in the new tank?
Find the volume of the old tank.
The water in the new tank will have the same volume. Use it to determine the new depth (height).

12. You Do
A rectangular prism with dimensions 2 in by 3 in by 6 in has the same volume as a right square pyramid that has a 6 in by 6 in base. What is the height of the pyramid?
Volume of the rectangular prism:
Volume of a right square pyramid:

13. You Do
A firework explodes and is spreading from its center in a spherical pattern. The sphere currently covers a surface area of 240 sq. meters. The diameter of the firework is expected to double in the next 30 seconds. What will be the new surface area of the sphere?
If the diameter doubles, so does the radius.
So the surface area increases by a factor of 4.

14. Post Test Please complete the post test for this standard
on your own. Do the best you can, hopefully
you will show improvement over your pretest
score.
Day 6
The post test can be found online at The teacher and student logins are the same as FCAT Explorer. If you have access to computers, you may wish to have your students complete this assessment online. Using the paper/pencil copy and a bubble answer sheet from Performance Matters will give you automatically graded assessment and valuable data for immediate use.